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Year 11 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 11 trigonometry worksheet.

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Year 11 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 2 — Answers

Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.

1.In a right-angled triangle, the hypotenuse is 27 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.

Answer: 19.4 cm

  1. sin 46° = opposite ÷ hypotenuse
  2. opposite = 27 × sin 46°
  3. ≈ 19.4
2.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 30°. Find the side opposite the 30° angle, to 1 decimal place.

Answer: 5.5 cm

  1. sin 30° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 30°
  3. ≈ 5.5
3.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 3.7 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 24°
  3. ≈ 3.7
4.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 28°. Find the side opposite the 28° angle, to 1 decimal place.

Answer: 13.6 cm

  1. sin 28° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 28°
  3. ≈ 13.6
5.In a right-angled triangle, the hypotenuse is 10 cm and one angle is 37°. Find the side opposite the 37° angle, to 1 decimal place.

Answer: 6 cm

  1. sin 37° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 37°
  3. ≈ 6
6.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.

Answer: 15.8 cm

  1. sin 46° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 46°
  3. ≈ 15.8
7.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 32°. Find the side opposite the 32° angle, to 1 decimal place.

Answer: 15.4 cm

  1. sin 32° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 32°
  3. ≈ 15.4
8.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 37°. Find the side opposite the 37° angle, to 1 decimal place.

Answer: 9 cm

  1. sin 37° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 37°
  3. ≈ 9
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